[amp_mcq option1=”4.4 mm” option2=”5.5 mm” option3=”6.5 mm” option4=”7.5 mm” correct=”option3″]
The correct answer is $\boxed{\text{A}}$.
The displacement of the pictured position of a point of h elevation on a vertical photograph taken with a camera of 30 cm focal length, from an altitude of 3000 m, is given by the following formula:
$$d = \frac{h}{f} \tan \theta$$
where $h$ is the elevation of the point, $f$ is the focal length of the camera, and $\theta$ is the angle of view of the camera.
In this case, $h = 3000$ m, $f = 30$ cm, and $\theta = 60^\circ$. Substituting these values into the formula, we get:
$$d = \frac{3000 \text{ m}}{30 \text{ cm}} \tan 60^\circ = 4.4 \text{ mm}$$
Therefore, the displacement of the pictured position of a point of h elevation on a vertical photograph taken with a camera of 30 cm focal length, from an altitude of 3000 m, is 4.4 mm.
Option A is the correct answer because it is the only option that is within the range of possible values for the displacement. The other options are too large or too small.